Base 142: Cycles Sequences: All Cycle Counts

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ
ΤΥΦΧΨΩαβγδεζηθικ
λμνξοπρςστυφχψωА
БВГДЕЖЗИЙКЛМНОПР
СТУФХЦЧШЩЪЫЬЭЮЯа

Color Key
OrangeFixed Pointnumber that becomes itself after one iteration
GreenFinal Numbersall numbers eventually reached, from all cycles
PurpleCycle Startiterations include entry into cycle, assuming it repeats
RedFull Cycleiterations include entire cycle, proving it repeats
BlueStart Numberssubset (optimization) of all numbers; minimal for full coverage
GrayNo Resultsany calculation that has no results

Digits # Full Cycles
(excluding zero)
Frequency Cycle
Length
Full Cycles
(excluding zero)
(bold = exactly one cycle [excluding zero])
10 cycles---
23 cycles8,460×(max) 60 nodes0Ю → Э1 → Ы3 → Ч7 → ПF → ωV → ΡΒ → EР → БT → Φx → MИ → λj → oζ → eπ → yΥ → KК → οf → wΧ → OЖ → ηn → gξ → uΩ → SВ → Ψv → QД → γr → Yφ → ΛΘ → 2Ь → Щ5 → УB → ЗN → ιl → kκ → mθ → iμ → qδ → aτ → ΗΜ → 4Ъ → Х9 → ЛJ → ρd → ΑΣ → GО → χX → ΝΖ → 6Ш → СD → ГR → αt → UА → Τz → IМ → σb → ΕΞ → 8Ц → НH → υZ → ΙΚ
846×6 nodesAФ → ЙL → νh → sβ → Wψ → ΟΔ
705×5 nodesCТ → ЕP → εp → cς → ΓΠ
31 cycle 487,202×(fixed) (max) 1 node ΙЮΚ
417 cycles1,047,823×(max) 35 nodesMHМЙ → υμha → ΙrβΛ → Y1Ьχ → ЫΜΖ4 → Ч5Ш8 → УОFC → ЗψVO → ιΠΒm → kDРλ → ГnζS → αfξu → wTАΨ → ΦPДy → εLИq → νbςi → ΕrβΟ → Y9Фχ → ЛΜΖK → ρ5Шe → УzΣC → ЗHМO → υθla → ΙjκΛ → o1Ьη → Ыfξ4 → ЧvΧ8 → ПPДG → ωδpW → ΡbςΓ → ΕDРΟ → Г9ФS → ЛΩtK → ρTАe → ΦzΣy
1,047,406×(max) 35 nodesofξη → wfξΨ → wPДΨ → εPДq → εbςq → ΕbςΟ → Ε9ФΟ → Л9ФK → ЛπdK → ρzΣe → ΑHМΤ → υHМa → υΘΚa → Ι1ЬΛ → Ы1Ь4 → ЫЦ74 → ЧОF8 → ПψVG → ωΠΒW → ΡDРΓ → ГDРS → ГΩtS → αTАu → ΦTАy → ΦLИy → νLИi → νrβi → sXφγ → ΝXφΗ → Ν5ШΗ → У5ШC → УЖNC → ЗθlO → ιjκm → ojκη
1,044,781×(max) 35 nodes61ЬЩ → ЫТB4 → ЧЖN8 → ПθlG → ωjκW → ΡnζΓ → gDРο → ГvΧS → αPДu → εTАq → Φbςy → ΕLИΟ → ν9Фi → ЛrβK → ρXφe → ΝzΣΗ → I5ШН → УτZC → ЗΘΚO → ι1Ьm → Ыjκ4 → Чnζ8 → ПfξG → ωvΧW → ΡPДΓ → εDРq → ГbςS → αΔΞu → U9ФБ → ЛΥxK → ρLИe → νzΣi → sHМγ → υXφa → ΝΘΚΗ
1,041,448×(max) 35 nodesE1ЬС → ЫВR4 → ЧΩt8 → ПTАG → ωΥxW → ΡLИΓ → νDРi → ГrβS → αXφu → ΝTАΗ → Φ5Шy → УLИC → ЗμhO → ιrβm → kXφλ → ΝnζΗ → g5Шο → УvΧC → ЗPДO → ιδpm → kbςλ → ΕnζΟ → g9Фο → ЛvΧK → ρPДe → εzΣq → cHМσ → υΔΞa → Ι9ФΛ → Л1ЬK → Ыπd4 → ЧzΣ8 → ПHМG → ωτZW → ΡΘΚΓ
1,040,410×(max) 35 nodesULИБ → νΥxi → sLИγ → νXφi → ΝrβΗ → Y5Шχ → УΜΖC → З5ШO → УθlC → ЗjκO → ιnζm → kfξλ → wnζΨ → gPДο → εvΧq → cPДσ → εΔΞq → c9Фσ → ЛΔΞK → ρ9Фe → ЛzΣK → ρHМe → υzΣa → ΙHМΛ → υ1Ьa → ЫΘΚ4 → Ч1Ь8 → ЫОF4 → ЧψV8 → ПΠΒG → ωDРW → ГΠΒS → αDРu → ГTАS → αΥxu
1,040,306×(max) 35 nodesQ5ШЕ → УδpC → ЗbςO → ιΔΞm → k9Фλ → ЛnζK → ρfξe → ΑvΧΤ → QHМЕ → υδpa → ΙbςΛ → Ε1ЬΟ → Ы9Ф4 → ЧКJ8 → ПπdG → ωzΣW → ΡHМΓ → υDРa → ГΘΚS → α1Ьu → ЫTА4 → ЧΥx8 → ПLИG → ωμhW → ΡrβΓ → YDРχ → ГΜΖS → α5Шu → УTАC → ЗΥxO → ιLИm → νjκi → snζγ → gXφο → ΝvΧΗ
1,038,958×(max) 35 nodesE5ШС → УВRC → ЗΩtO → ιTАm → Φjκy → oLИη → νfξi → wrβΨ → YPДχ → εΜΖq → c5Шσ → УΔΞC → З9ФO → ЛθlK → ρjκe → ΑnζΤ → gHМο → υvΧa → ΙPДΛ → ε1Ьq → Ыbς4 → ЧΔΞ8 → П9ФG → ЛψVK → ρΠΒe → ΑDРΤ → ГHМS → υΩta → ΙTАΛ → Φ1Ьy → ЫLИ4 → Чμh8 → ПrβG → ωXφW → ΡΜΖΓ
1,038,544×(max) 35 nodesM9ФЙ → ЛμhK → ρrβe → ΑXφΤ → ΝHМΗ → υ5Шa → УΘΚC → З1ЬO → Ыθl4 → Чjκ8 → ПnζG → ωfξW → ΡvΧΓ → QDРЕ → ГδpS → αbςu → ΕTАΟ → Φ9Фy → ЛLИK → ρμhe → ΑrβΤ → YHМχ → υΜΖa → Ι5ШΛ → У1ЬC → ЫЖN4 → Чθl8 → ПjκG → ωnζW → ΡfξΓ → wDРΨ → ГPДS → εΩtq → cTАσ → ΦΔΞy
1,038,338×(max) 35 nodesUPДБ → εΥxq → cLИσ → νΔΞi → s9Фγ → ЛXφK → ρΜΖe → Α5ШΤ → УHМC → ЗτZO → ιΘΚm → k1Ьλ → Ыnζ4 → Чfξ8 → ПvΧG → ωPДW → εΠΒq → cDРσ → ГΔΞS → α9Фu → ЛTАK → ρΥxe → ΑLИΤ → νHМi → υrβa → ΙXφΛ → Ν1ЬΗ → Ы5Ш4 → ЧТB8 → ПЖNG → ωθlW → ΡjκΓ → oDРη → ГfξS → αvΧu
1,038,032×(max) 35 nodesA1ЬХ → ЫКJ4 → Чπd8 → ПzΣG → ωHМW → υΠΒa → ΙDРΛ → Г1ЬS → ЫΩt4 → ЧTА8 → ПΥxG → ωLИW → νΠΒi → sDРγ → ГXφS → αΜΖu → U5ШБ → УΥxC → ЗLИO → νθli → sjκγ → oXφη → ΝfξΗ → w5ШΨ → УPДC → ЗδpO → ιbςm → ΕjκΟ → o9Фη → ЛfξK → ρvΧe → ΑPДΤ → εHМq → υbςa → ΙΔΞΛ
1,037,218×(max) 35 nodesIDРН → ГτZS → αΘΚu → U1ЬБ → ЫΥx4 → ЧLИ8 → ПμhG → ωrβW → ΡXφΓ → ΝDРΗ → Г5ШS → УΩtC → ЗTАO → ιΥxm → kLИλ → νnζi → sfξγ → wXφΨ → ΝPДΗ → ε5Шq → УbςC → ЗΔΞO → ι9Фm → ЛjκK → ρnζe → ΑfξΤ → wHМΨ → υPДa → εΘΚq → c1Ьσ → ЫΔΞ4 → Ч9Ф8 → ПКJG → ωπdW → ΡzΣΓ
1,036,520×(max) 35 nodesM1ЬЙ → Ыμh4 → Чrβ8 → ПXφG → ωΜΖW → Ρ5ШΓ → УDРC → ЗВRO → ιΩtm → kTАλ → Φnζy → gLИο → νvΧi → sPДγ → εXφq → ΝbςΗ → Ε5ШΟ → У9ФC → ЛЖNK → ρθle → ΑjκΤ → oHМη → υfξa → ΙvΧΛ → Q1ЬЕ → Ыδp4 → Чbς8 → ПΔΞG → ω9ФW → ЛΠΒK → ρDРe → ГzΣS → αHМu → υTАa → ΦΘΚy
1,036,248×(max) 35 nodesI9ФН → ЛτZK → ρΘΚe → Α1ЬΤ → ЫHМ4 → ЧτZ8 → ПΘΚG → ω1ЬW → ЫΠΒ4 → ЧDР8 → ПВRG → ωΩtW → ΡTАΓ → ΦDРy → ГLИS → νΩti → sTАγ → ΦXφy → ΝLИΗ → ν5Шi → УrβC → ЗXφO → ιΜΖm → k5Шλ → УnζC → ЗfξO → ιvΧm → kPДλ → εnζq → gbςο → ΕvΧΟ → Q9ФЕ → ЛδpK → ρbςe → ΕzΣΟ
1,035,792×(max) 35 nodesM5ШЙ → УμhC → ЗrβO → ιXφm → ΝjκΗ → o5Шη → УfξC → ЗvΧO → ιPДm → εjκq → obςη → ΕfξΟ → w9ФΨ → ЛPДK → ρδpe → ΑbςΤ → ΕHМΟ → υ9Фa → ЛΘΚK → ρ1Ьe → ЫzΣ4 → ЧHМ8 → ПτZG → ωΘΚW → Ρ1ЬΓ → ЫDР4 → ЧВR8 → ПΩtG → ωTАW → ΦΠΒy → MDРЙ → ГμhS → αrβu → YTАχ → ΦΜΖy
1,035,772×(max) 35 nodesA5ШХ → УКJC → ЗπdO → ιzΣm → kHМλ → υnζa → ΙfξΛ → w1ЬΨ → ЫPД4 → Чδp8 → ПbςG → ωΔΞW → Ρ9ФΓ → ЛDРK → ГπdS → αzΣu → UHМБ → υΥxa → ΙLИΛ → ν1Ьi → Ыrβ4 → ЧXφ8 → ПΜΖG → ω5ШW → УΠΒC → ЗDРO → ГθlS → αjκu → oTАη → Φfξy → wLИΨ → νPДi → εrβq → cXφσ → ΝΔΞΗ
1,034,742×(max) 35 nodesE9ФС → ЛВRK → ρΩte → ΑTАΤ → ΦHМy → υLИa → νΘΚi → s1Ьγ → ЫXφ4 → ЧΜΖ8 → П5ШG → УψVC → ЗΠΒO → ιDРm → ГjκS → αnζu → gTАο → ΦvΧy → QLИЕ → νδpi → sbςγ → ΕXφΟ → Ν9ФΗ → Л5ШK → УπdC → ЗzΣO → ιHМm → υjκa → ΙnζΛ → g1Ьο → ЫvΧ4 → ЧPД8 → ПδpG → ωbςW → ΡΔΞΓ
1,033,740×(max) 35 nodesI1ЬН → ЫτZ4 → ЧΘΚ8 → П1ЬG → ЫψV4 → ЧΠΒ8 → ПDРG → ГψVS → αΠΒu → UDРБ → ГΥxS → αLИu → νTАi → Φrβy → YLИχ → νΜΖi → s5Шγ → УXφC → ЗΜΖO → ι5Шm → УjκC → ЗnζO → ιfξm → wjκΨ → oPДη → εfξq → wbςΨ → ΕPДΟ → ε9Фq → ЛbςK → ρΔΞe → Α9ФΤ → ЛHМK → υπda → ΙzΣΛ
53 cycles343,512,270×3 nodesιjЮκm → λkЮιk → κnЮζl
172,320,908×(max) 4 nodesιkЮιm → κjЮκl → λlЮθk → κmЮηl
20,304×2 nodesΚΘЮΚΚ → ΚЮЮЮΙ
6+---Not showing digit sets 6+ due to verbosity.